一类受疾病影响的传染病模型解的渐近性  

Asymptotic Behaviour of Solution to an Epidemiological Model with Desease in the Prey

作　　者：任丽萍[1] 

机构地区：[1]徐州建筑职业技术学院基础部,江苏徐州221008

出　　处：《徐州建筑职业技术学院学报》2008年第2期33-35,共3页Journal of XUZHOU Institute of Architectural Technology

摘　　要：对一类受疾病影响的传染病捕食模型进行探讨,证明了当捕食者和高端捕食者的死亡率达到一定条件时,模型的解是一致全局渐近稳定的,此时捕食者和高端捕食者将灭绝.This paper discusses an epidemiological predatory model with desease in the prey. It proves that the solution to the model is consistently asymptotically stable in the large when the death rates of predators and top predators fulfil certain conditions. Meanwhile, both the former and the latter will become extinct.

关 键 词：传染病模型 比率功能项 全局渐近稳定 

分 类 号：O175.26[理学—数学]